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ira [324]
3 years ago
11

there is a circular path around a sports field Soniye X 18 minutes drive one round of the field while Ravi takes 12 minutes for

the same the first they both started the same point in same time I am going the same direction after how many minutes will they meet again at the starting point​
Mathematics
1 answer:
MissTica3 years ago
3 0
Yes it is 14 The answer to the question
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Use the Remainder Theorem to determine f(2) when f(x) = -x3 + 6x - 7
saul85 [17]

Step-by-step explanation:

f(2)= -2×2×2+ 6×2 -7

=-8+12-7

=-3

7 0
3 years ago
Rachel runs 2km to her bus stop, and then rides 4.5 km to school. On average, the bus is 45 km/h faster than Rachel's average ru
Mice21 [21]

Answer:6.042km/h 6km/h approximately

Step-by-step explanation:

First off we have to know the formula relating speed, distance and time which is

Speed = distance/time

Now we are looking for Rachel's running speed

We are to find Rachel's running speed, so let's label is x

We are given that the distance Rachel runs to her bus stop is 2km

We were not given the time she uses to run to the bus stop

So let's label the time Rachel uses to run to her bus stop as y

So from the formula speed = distance/time

We have x = 2/y

Now we are told that the speed the bus uses to get to school is 45km/h faster than her speed used to run

So speed of bus = 45 + x

And the overall time for the whole journey is 25mins, changing this to hours, because the speed details given is in km/h we divide 25 by 60 which will give 0.417

Now if the total time is 0.417 hours, and we labeled the time for Rachel to run to the bus as y, so the time for the time for the bus to get to school will be 0.417 - y

We are also told the bus rides for 4.5km to school

So adding this together to relate the speed, distance and time of the bus with the formula speed = distance/time

We get 45 + x = 4.5/(0.417 - y)

So we have two equations

x = 2/y (1)

45+x = 4.5/(0.417-y) (2)

So putting (1) in (2) we have

45 + (2/y) = 4.5/(0.417-y)

Expanding further

(45y + 2)/y = 4.5(0.417-y)

Cross multiplying

(45y + 2)(0.417 - y) = 4.5y

Opening the brackets

18.765y - 45y2 + 0.834 - 2y = 4.5y

Collecting like terms

-45y2 + 18.765y -2y - 4.5y + 0.834 = 0

-45y2 + 12.265 + 0.834 = 0

Dividing all sides by -45 to make the coefficient of y2 1

y2 - 0.273y - 0.019 = 0

Now we have gotten a quadratic equation, and since it's with decimal numbers we can use either completing the square method of almighty formula

I'm using almighty formula her

For solving

ax2 + bx + c = 0

x = (-b +-root(b2-4ac)/2a

For our own equation, we are finding y

From our our quadratic equation

a = 1, b=-0.273, c = -0.834

you = (-(-0.273)+-root(-0.273-4(1)(-0.019))/2(1)

y = (273+-root(0.151))/2

y = (0.273+0.389)/2 or (0.273-0.389)/2

y = 0.331 or -0.085

So we use the positive answer which is 0.331, because time can't be negative

Then we put y = 0.331 in (1)

x = 2/y

x = 2/0.331

x = 6.042km/h

x = 6km/h approximately

4 0
3 years ago
What is the value of sin 2900 + cos 2900 ?<br><br>​
Rzqust [24]

Answer:

-1.25737973739

Step-by-step explanation:

plz make it brillent ans

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2 years ago
Angie read 60 pages of a textbook in 2 hours. she turned on the tv and read 24 pages in 1 hour. angie’s average reading rate wit
jek_recluse [69]
Hello! So Angie reads 60 pages in 2 hours, without the TV on. 60/2 is 30. She reads 30 pages an hour without the TV on, and 24 pages with the TV off. To find the percent of her reading rate with the TV on instead of off, we can just divide both of the reading rates. 24/30 is 0.8. Multiply that by 100 and you get 80% in percent form. There. Angie's reading rate with the TV on is 80% of her reading rate with the TV off. The answer is B: 80%.
6 0
3 years ago
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Which of the following lines has a zero slope?
Pavlova-9 [17]

It should be A because C cannot exist at the moment. B and D are clearly slopes, so it has to be A.

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